A tennis ball is in a cylindrical container. The ball has a radius of 5 inches and the cylinder has a height of 8 inches. How much wasted space (air) is there in the container? The tennis ball touched the sides, top, and bottom of the container.) Give your answer in terms of pi. *

Answers

Answer 1

Answer:

104.7 in^3

Step-by-step explanation:

Step one:

given data

The ball has a radius of 5 inches and

the cylinder has a height of 8 inches

Step two:

The volume of the cylinder

[tex]v= \pi r^2 h[/tex]

substitute our data

[tex]v= 3.142*5^2*8\\\\v=628.4in^3[/tex]

The volume of the ball

[tex]v=4/3 \pi r^3[/tex]

substitute our data

[tex]v= 4/3 *3.142*5^3\\\\v= 523.7 in^3[/tex]

The space will have a volume of

=628.4-523.7

=104.7 in^3


Related Questions

What is the value of s ?

Answers

Answer:

The value is 17

Step-by-step explanation:

This is because to find the hypotenuse you use the equation [tex]a^{2} + b^{2} =c^{2}[/tex].

So you would square 15 and 8 then add them up to get [tex]c^{2}[/tex]. After this you just need to find the square root of [tex]c^{2}[/tex] to get "c" by itself or in this case "s".

ratio 7:5 end them
Page :
Date:
6) I
If a
pair
F
the
supplementary
are​

Answers

Answer:

7:6

Step-by-step explanation:

yan ng sagot dont forget to heart

The physical education teacher assigns each student a number from 1 to 100 and uses a
computer to randomly generate a list of 30 numbers to select the students for the
sample. What type of sampling is being used?

Answers

Answer:

Simple random sampling

Step-by-step explanation:

The type of sampling used here is simple random sampling(SRS) because SRS is defined as the sampling technique where a group of subjects known as sample are selected for study from a larger group known as population. Thereafter, each individual will be entirely chosen by chance and then each member of the population will have an equal opportunity of being included in the sample.

Thus question given corresponds to this definition.

Paula is a banker who earns $15 per hour. If Paula worked 63 hours at her job, how much money did she earned? Please answer this is for my sister

Answers

paula made $945 if you multiply $15 x 63

at the book fair 26 books were sold in the first 2.5 hours at this rate how many books will be sold in the 10 hours of the book fair

A. 78
B. 26
C. 104
D. 52​

Answers

Answer:

Step-by-step explanation:

if 26 books were sold in 2.5 hours

26 books.......................................2.5 hours

? books............................................10 hours

the books sold in 10 h

=(26*10)/2.5=104

Hey,

Answer ;

C

2,5→26

10→x

2,5.x=26.10

2,5x=260

25x=2600

x=104

Good luck^-^

Clare is 5 years older than her cousin. cousin How old would Clare be if her cousin is: A. 10 years old? B. 2 years old? C. X years old? Clare is 12 years old. How old is Clare's cousin?

Answers

Answer:

if her cousin is 10 clare will be 15, cousin=2 clare=7, cousin=x clare= x+5. if clare= 12 then 12-5=7

The age of cousin when Clare is 12 years old is computed as 7 years.

What is meant by mathematical operations ?

Mathematical operations are defined as the operations used for calculating or computing various solutions of two or more values.

Here,

Given that, Clare is 5 years older than her cousin.

Age of Clare at different ages of her cousin is calculated.

A) 10 years old

Age of Clare = 10 + 5 = 15 years old

B) 2 years old

Age of Clare = 2 + 5 = 7 years old

C) X years old

Age of Clare = X + 5 years old

Cousin's age when Clare is 12 years old can be calculated as,

Age of cousin = 12 - 5 = 7 years old

Hence,

The age of cousin when Clare is 12 years old is computed as 7 years.

To learn more about mathematical operations, click:

https://brainly.com/question/8959976

#SPJ3

help me pls it is on a time i got 30 minutes left

Answers

Answer:

C.

Step-by-step explanation:

sorry if im wrong

Answer:

i believe that the answer would be D

Step-by-step explanation:

the slope is positive eliminating the first 2 answers. it goes over and up about one so that leaves C and D

If $1=Rs. 102.50 and £ 1=Rs, 140, how many dollars equals to £5?​

Answers

Answer:

$6.83= £5

Step-by-step explanation:

As £ 1=Rs 140

So, £5 = Rs 140 x 5

£5 = Rs 700 ...(i)

Now, Rs. 102.50 = $ 1

So, Rs. 1 = $ (1/102.5)

Therefore, Rs. 700 = $ (1/102.5)x 700 = $6.83

By using equation (i)

£5 = $6.83

Hence, there are $6.83= £5

CONSIDER THIS SITUATION
A baker has 12 lbs of almonds. She puts them in bags, so that each
bag has the same weight. In terms of pounds and bags of almonds,
what would 12 = 6 mean?

Answers

Answer:

maybe you are splitting the 12 pounds of almonds into 2 so you have two bags of 6 pounds of almonds.

Step-by-step explanation:

This isn't for sure. Just a theory.

Answer: 12 lbs. of almonds is separated into 6 bag all of them weighing 2 lb. each

Duke and Mary collect stamps. Duke has 1,364 stamps, and Mary has 1,808 stamps. How many stamps do they have in all?
A.
3,152
B.
3,162
C.
3,172
D.
3,272

Answers

Answer:

Mary and Duke have 3,172 stamps altogether

1,364 + 1,808 = 3,172

It’s C 3,172 because

Clare is running around the track and her coach recorded her times at the end of laps 2, 4, 6, 8 and 10. Is Clare running at a constant pace and if so, what is the constant of proportionality (unit rate) Clare is running?




A.

Yes, Clare is running at 5 minutes per lap.


B.

No, Clare is not running at a constant rate because she gets slower as she runs more laps.


C.

Yes, Clare is running at a constant rate of 2.5 minutes per lap.


D.

No, Clare decided not to listen to her coach and decided to run faster each lap.

Answers

Answer:

d

Step-by-step explanation:

Which functions are increasing?

Select all correct answers

Answers

Answer:

The correct answers should be b and c

Step-by-step explanation:

|•-•|

I think the correct answers are b and c

help ya girl is failing math

Answers

Answer:

choose the third choice

number three seems right

Alice spent $131 on shoes. Flip flops cost $15 and Sneakers cost $28. If she
bought a total of 7 shoes, then how many of each kind of shoe did she
buy? Write the answer as an ordered pair...(flip flops, sneakers). Do not
include the units. *

Answers

Answer:

Flip flops = 5

Sneakers = 2

Step-by-step explanation:

Let

x = flip flops

y = sneakers

x + y = 7 (1)

15x + 28y = 131 (2)

From (1)

x = 7 -y

Substitute x = 7 - y into (2)

15x + 28y = 131

15(7 - y) + 28y = 131

105 - 15y + 28y = 131

-15y + 28y = 131 - 105

13y = 26

y = 26/13

= 2

y = 2

Substitute y = 2 into (1)

x + y = 7

x + 2 = 7

x = 7 - 2

= 5

x = 5

Flip flops = 5

Sneakers = 2

How do you write a slope parallel to a line?

Answers

Answer:

slope is m. Parallel means it has the same slope as the line it's parallel to. Let's say the slope of line 1 is 3, and your y intercept is 12. The equation would then be y = 3x + b and b would be 12 bc x would be 0 at y intercept making the equation become y = (0)x+b and for y to be 12, b has to be 12 in this case. So y = 3x + 12

The graph of a function is shown:

Which of the following correctly identifies the set of outputs?
O {(-3,2), (-2, 1), (3, 3), (3, -1)}
O {(2, -3), (1, -2), (3, 3), (-1,3)}
O {-3, -2,3}
O {-1, 2, 3}

Answers

Answer:

C, (-3, -2, 3)

Step-by-step explanation:

I literally just had this question and i got a 100. You just find what the points are, and choose the y-axis point because it's the output, like the x-axis point is the input. So for starters, we can look at the point in the upper right square corner on the grid. You would go to the left 3 times, along the x-axis, and it would be -3. Then you would go up 2 times, along the y-axis, and it would be positive 2. So the plot for that point is (-3, 2) but we want the output which is the y-axis so it would be 2. Do the same with all of the points. [you can already rule out the first 2 choices because that's giving all of the points, not just the outputs] That leaves you with the bottom 2 and only one of the choices has the positive 2 which we already found. Hence, the answer is C. Trust me, it's not hard, i didn't have to read anything, i just figured it out. And if i can, you can. You got this!

can someone please tell me what to do in this question im so confused

Answers

im no expert but i think its
input: x,independent variable ,domain
output: y, dependent variable , range
extra: f(x) , discrete, and slope

4(1-x) +2 x = - 3( x + 1 )

Answers

Answer
X=-7
Explanation
Tell me and I will give u it

Answer:

X = 7

Step-by-step explanation:

What is the slope of the equation y-5=-3x?
5
3
-3
-8

Answers

You’re slope would be -3 this is the correct answer

If one diagonal is 12 inches long and the other is 32 inches long, how many inches long, to the nearest hundredth of an inch, is a side of the rhombus

Answers

Answer:

17.09 inch

Step-by-step explanation:

Given that:

A rhombus with diagonals of length 12 inches and 32 inches.

To find:

The length of rhombus to the nearest hundredth of an inch.

Solution:

First of all, we need to learn about the property of a rhombus, its sides and its diagonals.

The diagonals of a rhombus intersect each other by bisecting each other and are perpendicular to each other.

And all the sides

Kindly refer to the attached image for the given dimensions.

Now, there are four right angled triangles in which we can use Pythagorean theorem to find hypotenuse which is nothing but the side of rhombus.

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow Side^{2} = 6^{2} + 16^{2}\\\Rightarrow Side^{2} = 292\\\Rightarrow Side \approx \bold{17.09\ inch}[/tex]

For the month of march, Kasey plans to vacuum her floor every fourth day and clean her bathroom every seventh day if she begins this march 1, on what day of the month will she do both jobs?

Answers

Answer: March 28

Step-by-step explanation:

Solve for this by checking for the lowest common multiple of 7 and 4.

Multiples of 7: 7, 14, 21, 28, 35

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32

Lowest is 28 so on March 28th she both will vacuum her floor and clean her bathroom.

Does anyone know what the range of function is for this graph ?

Answers

Answer:

That's a nonlinear line

Step-by-step explanation:

Brainiest plz

Answer:

                                 

Step-by-step explanation:

-7.5x + 0.25 = -5.75
The value of x is =

Answers

Answer:

x = 4/5

I hope this helps!

Answer:

x = .8

Step-by-step explanation:

-7.5x = -5.75 - 0.25

-7.5x = -6.0

-6.0/-7.5 = .8

What is compound interest?
What is simple interest?

Answers

Answer: Is below

Step-by-step explanation:

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Answer:

See below.

Step-by-step explanation:

[tex]\boxed{\underline{\text{Compound Interest}}}[/tex]

Compound interest is earned on an investment when the interest earned for each period is added to the previous principal.

Compound interest formula:

[tex]\Longrightarrow: \sf{A=P(1+\dfrac{r}{n})^n^t}}[/tex]

A: represents the current balance or compound amount in the account.P: represents the principal (the original amount deposited).R: annual interest rate (in decimal form).N: the number of times per year that interest is compounded.T: time in years the money has been invested.

[tex]\boxed{\underline{\text{Simple interest}}}[/tex]

A simple interest investment is one that earns interest only during the first period but does not earn interest thereafter.

Simple interest formula:

[tex]\Longrightarrow: \sf{I=PRT}[/tex]

I= InterestP= PrincipalR= RateT= Time

I hope this helps, let me know if you have any questions.

Learn more about how to solve with compound interest and simple interest at:

https://brainly.com/question/14740098

https://brainly.com/question/17282817

NEED HELP ASAP!!!!!!!!

Answers

Answer:

with what

Step-by-step explanation:

Answer:

WHAT?!?!?!?!!?!

Step-by-step explanation:

I need help with this

Answers

Answer:

y = -3x + 10

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx.

Answer:

D, last one

bottom right

y=-3x+10

Step-by-step explanation:

Danielle’s retirement income is $90,000. Assuming it is 70% of his final salary, what was her final salary?

$63,000
$90,000
$128,571
$140,595

Answers

Answer:

Correct ✅ answer ✅ - Danielle's retirement income is $90000. Assuming it is 70 % of his final salary, what was her final salary $63000 $90000 $128571 $14.

Eric's father Works two part-time jobs one in the morning and one in the afternoon and works a total of 40 hours each five day workweek if your schedule is the same each day and he works 3 hours each morning how many hours does Eric's father work each afternoon

Answers

Answer:

8

Step-by-step explanation:

because 40 devided by 5 equals 8 so thats how many hours in the afternoon

3 * 5 = 15 that is how many hours he works in the mornings

40 - 15 = 25

He works 25 hours in the afternoon every week.
25 / 5 = 5

So his father works 5 hours every after noon 5 days out of the week

The ratio of boys to girls in the freshman class is 2 : 3. If there are 120 boys in the class, how many are girls? *

40
120
80
180

Answers

180 is the answer to the question

Fill in the blank with the correct response.
What is the scale factor?

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

i have had this question too lol

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